[2] (A) f'(a) = √ 1 – f ± (a) for all a ∈ (0, (B) f'(a) = = true (0) 2 -- for all a E (C) f(a) f'(a) for atleast one a E T 8a D) f'(a) = for atleast one a E (0, 2). 2 T माना f : [0, 72 -> [0, 1] एक अवकलनीय फलन इस प्रकार है, कि f(0) = 0, f (A) सभी a ∈ (0, ½) के लिये f'(a) = E 1 – f 2 (a) होगा (0₁). (0, 7) टे (5) = 1 हो, तब =

Q: Find f such that f'(x) = 10x - 7, f(8) = 0.

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Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

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Q: 2 Let f(x) = √3x² + 3x + 2 f'(x) = ƒ'(1): = OF

A: Topic - Derivative of  a function We are given, f(x)=3x2+3x+2Formulas usedChain rule:…

Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

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Q: Find f. f ''(t) = 3\sqrt(t),  f(4) = 17,    f '(4) = 4 f(t) =

A: It is integration using initial conditions.

Q: Find f' (4), given that 4 x f(x) = -2 - h(x) + h(x) h(4) = 5 h'(4) = -2 %3D

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Q: Syppese that f(5) =! f'(5)= 5)=-3 g(5)=7 and a) (5)

A: Given:- Suppose that f(5) = 1,f'(5)=4 ,g(5)=-3, g'(5)=7   a) (fg)'(5)   b) (f/g)'(5)   c) (g/f)'(5)

Q: Let f(x) = – 5 In(7x) f'(x) =

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Q: h' (2) = 4, then f'(2) = ? We know the following 5. Suppose that f(h) and h(r) are functions such…

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Q: If f(t)=(t^2+4t+3)(5t^2+6). find f('t) and f'(3)

A: Given: f(t)=(t^2+4t+3)(5t^2+6) find f('t) and f'(3) = ?

Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: let f(2)=3, f'(2)=4,g(2)=3,g'(3)=2. find (g o f)'(2)

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Q: find f'(a) f(t) = 1/(t2+7)

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Q: Differentiate f(t) = 9-5t+6 f'(t)

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Q: f(x) is concave down on the interval (a, b) if f'(x) is decreasing on True False (a, b).

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Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

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Q: Given f'(x) = 4x³ + 12x², determine the interval(s) on which f is both increasing and concave up,…

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Q: Suppose that S(m)3(4#-4)*(32+ 1). Find f'(#), and then evaluate f' at # = 1 and # = -1 (1)= 1(-1)=

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Q: Let F(x) = f(xf(x)) where f(2)=4, f(8)=5, f'(2)=-3, f'(8)=7. Find F'(2)

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Q: Let f(x) = √5x² + 3x + 7 f'(x) = f'(2) =

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Q: Let f: ℝ → ℝ by f(x) = 1 + x^2 and g: ℝ → ℝ by g(x) = 2^x + 3, calculate the following: (f ○ g)(1)

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Q: If f(t)=(t^2+6t+2)(7t^2+5). find f'(t) and f'(4)

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Q: Please help me with f(1), f'(1), f"(1) Thanks

A: To evaluate the derivatives (at 1) of the two given functions

Q: 225 x 45= %|

A: